Matematika

Pertanyaan

Pakai cara dn penjelasan pliss!!
misal 2 log 3 =a , 3 log 5=b. maka 6 log 40 adalah??

1 Jawaban

  • 6 log 40 = 6 log (8×5)
    = 6 log 8 + 6 log 5
    = (2log8)/(2log6) + (3log5)/(3log6)
    = (2log2^3)/(2log2 + 2log3) + (3log5)/(3log3 + 3log2)
    = 3/(1+a) + b/(1 + 1/(2log3))
    = 3/(1+a) + b/(1+1/a)
    = 3/(1+a) + b/((a+1)/a)
    = 3/(1+a) + ab/(a+1)
    = 3/(1+a) + ab/(1+a)
    = (3+ab)/(1+a)
    = (ab+3)/(a+1)

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